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40026251525 = 5213210618929
BaseRepresentation
bin100101010001110000…
…000010000100000101
310211022111110020211012
4211101300002010011
51123433210022100
630215433252005
72614613344601
oct452160020405
9124274406735
1040026251525
1115a7a859217
127910864005
133a0b644300
141d19c82501
151093e70135
hex951c02105

40026251525 has 36 divisors (see below), whose sum is σ = 53800803180. Its totient is φ = 29526681600.

The previous prime is 40026251483. The next prime is 40026251549. The reversal of 40026251525 is 52515262004.

It can be written as a sum of positive squares in 18 ways, for example, as 39967606561 + 58644964 = 199919^2 + 7658^2 .

It is a de Polignac number, because none of the positive numbers 2k-40026251525 is a prime.

It is a super-2 number, since 2×400262515252 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40026251491 and 40026251500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4478261 + ... + 4487189.

It is an arithmetic number, because the mean of its divisors is an integer number (1494466755).

Almost surely, 240026251525 is an apocalyptic number.

It is an amenable number.

40026251525 is a deficient number, since it is larger than the sum of its proper divisors (13774551655).

40026251525 is a wasteful number, since it uses less digits than its factorization.

40026251525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10026 (or 10008 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 40026251525 in words is "forty billion, twenty-six million, two hundred fifty-one thousand, five hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 1061 4225 5305 8929 13793 26525 44645 68965 116077 179309 223225 344825 580385 896545 1509001 2901925 4482725 7545005 9473669 37725025 47368345 123157697 236841725 615788485 1601050061 3078942425 8005250305 40026251525